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# CSET Math: Normal Distribution Chapter Exam

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#### Question 1 1. The tail lengths of a certain animal are normally distributed with a mean length of 1.5 feet and a standard deviation of 3 inches. What percentage of these animals have a tail that is at most one foot long?

#### Question 2 2. You are creating a tree house and have made the doorway into the structure 71 inches tall. Suppose the average height of adult males is 68 inches with a standard deviation of 3 inches. What percentage of men will have to bend their heads to get into the house?

#### Question 3 3. The lifespan of a certain battery is measured in cycles. A manufacturer claims that the average number of cycles for their battery is 2000 with a standard deviation of 100, and the number of cycles is distributed normally. You wish to buy a battery from this manufacturer. What is the probability that the battery will last between 1900 and 2200 cycles?

#### Question 4 4. In a certain video game you wish to be in the top 0.15% of the scores. Assuming that the scores are normally distributed with a mean score of 25,460 and a standard deviation of 570, what is the score you need to achieve?

#### Question 5 5. A distribution of data has a mean of 15 and a standard deviation of 2. How many standard deviations away from the mean is a value of 13?

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#### Question 6 6. What do one-sided problems involve?

#### Question 7 7. What is a Z-score?

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Question 8
8.
A store sells suits that are only designed for men who are very tall. The smallest suit they make fits any man who is 75 inches tall. If the average height of men is 70 inches, with a standard deviation of 5 inches, then how many men can shop at this store?

Use this z score table:

#### Question 9 9. What is the fastest way to find Z-score percentages?

#### Question 10 10. What do two-sided problems involve?

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#### Question 11 11. Which of the following is NOT a measure of central tendency?

#### Question 12 12. Which of the following is NOT true regarding the mean?

#### Question 13 13. Which measure of central tendency is useful when working with nominal data?

#### Question 14 14. Which statement is NOT true regarding the median?

#### Question 15 15. What is a measure of central tendency?

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#### Question 16 16. What is a frequency distribution that can be represented by a bell-shaped curve?

#### Question 17 17. Assuming that both np>=5 and nq>=5, how can you calculate the mean of the normal distribution?

#### Question 18 18. If you're using the binomial probability formula to capture the probability of an event, and you know the value of q, will you always be able to calculate the value of p? Why?

#### Question 19 19. Assuming that both np>=5 and nq>=5, how can you calculate the standard deviation of the normal distribution?

#### Question 20 20. Which of the following must be true to be able to approximate binomial probabilities with a normal distribution?

#### CSET Math: Normal Distribution Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!